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A cube number, or a perfect cube, or sometimes just a cube, is a number which is the cube of an integer. ... 50 3 = 125,000 60 3 = 216,000 Geometrically speaking, ...
A cube has all multiplicities ... A number where some but not all prime factors have multiplicity above 1 is neither square-free nor squareful. ... 50: 2·5 2: 51: 3 ...
Fifty is the smallest number that is the sum of two non-zero square numbers in two distinct ways. [ 1 ] 50 is a Stirling number of the first kind and a Narayana number . Look up fifty in Wiktionary, the free dictionary.
A mathematical constant is a key number whose value is fixed by an unambiguous definition, often referred to by a symbol (e.g., an alphabet letter), or by mathematicians' names to facilitate using it across multiple mathematical problems. [1]
A list of articles about numbers (not about numerals). Topics include powers of ten, notable integers, prime and cardinal numbers, and the myriad system.
A prime number (or prime) is a natural number greater than 1 that has no positive divisors other than 1 and itself. By Euclid's theorem, there are an infinite number of prime numbers. Subsets of the prime numbers may be generated with various formulas for primes.
It is, moreover, the smallest number that can be represented as a sum of any number of distinct positive cubes in more than one way. [2] It is a highly powerful number : the product 3 × 3 {\displaystyle 3\times 3} of the exponents in its prime factorization 216 = 2 3 × 3 3 {\displaystyle 216=2^{3}\times 3^{3}} is larger than the product of ...
Since every integer is congruent to its own cube modulo 6, it follows that every integer is the sum of five cubes of integers. In 1966, V. A. Demjanenko proved that any integer that is congruent neither to 4 nor to −4 modulo 9 is the sum of four cubes of integers.